351764040 has 64 divisors (see below), whose sum is σ = 1057224960. Its totient is φ = 93632000.

The previous prime is 351764029. The next prime is 351764057. The reversal of 351764040 is 40467153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 351763989 and 351764007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71665 + ... + 76415.

It is an arithmetic number, because the mean of its divisors is an integer number (16519140).

Almost surely, 2^351764040 is an apocalyptic number.

351764040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351764040 is an abundant number, since it is smaller than the sum of its proper divisors (705460920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

351764040 is a wasteful number, since it uses less digits than its factorization.

351764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 351764040 is about 18755.3736299760. The cubic root of 351764040 is about 705.9118626715.

The spelling of 351764040 in words is "three hundred fifty-one million, seven hundred sixty-four thousand, forty".